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Finding the Third Proportional to 18,106 and 28,981

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Solution

The third proportional to 18,106 and 28,981 is: 46,387.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,106 : 28,981 = 28,981 : x
  2. Step 2: Convert to fraction form
    18,106/28,981 = 28,981/x
  3. Step 3: Cross multiply
    18,106x = 28,981 × 28,981
  4. Step 4: Simplify right side
    18,106x = 839,898,361
  5. Step 5: Solve for x
    x = 839,898,361/18,106
  6. Step 6: Final answer
    x = 46,387.85

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.